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Simplifying -2(w + -7) + 8w + 1 = 0 Reorder the terms: -2(-7 + w) + 8w + 1 = 0 (-7 * -2 + w * -2) + 8w + 1 = 0 (14 + -2w) + 8w + 1 = 0 Reorder the terms: 14 + 1 + -2w + 8w = 0 Combine like terms: 14 + 1 = 15 15 + -2w + 8w = 0 Combine like terms: -2w + 8w = 6w 15 + 6w = 0 Solving 15 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 0 + -15 6w = 0 + -15 Combine like terms: 0 + -15 = -15 6w = -15 Divide each side by '6'. w = -2.5 Simplifying w = -2.5
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